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Finding the Third Proportional to 497,950.88 and 754,444.13

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Solution

The third proportional to 497,950.88 and 754,444.13 is: 1,143,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,950.88 : 754,444.13 = 754,444.13 : x
  2. Step 2: Convert to fraction form
    497,950.88/754,444.13 = 754,444.13/x
  3. Step 3: Cross multiply
    497,950.88x = 754,444.13 × 754,444.13
  4. Step 4: Simplify right side
    497,950.88x = 569,185,937,747.02
  5. Step 5: Solve for x
    x = 569,185,937,747.02/497,950.88
  6. Step 6: Final answer
    x = 1,143,056.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.